Question

F(x)=x^2+1 and g(x)=5-x

what is (f+g)(x)= ?

o x^2+x-4
o x^2+x+4
o x^2-x+6
o x^2+x+6

Answer 1

To determine (f+g)(x), the two functions f(x) and g(x) are added together to yield the final function x^2 - x + 6.

Step-by-step explanation:

To find the function (f+g)(x), we need to add the functions f(x) and g(x) together. Given that f(x) = x^2 + 1 and g(x) = 5 - x, we can combine them like this:

(f+g)(x) = f(x) + g(x)

= (x^2 + 1) + (5 - x)

= x^2 + 1 + 5 - x

= x^2 - x + 6.

Therefore, the correct option is x^2 - x + 6.